X-Git-Url: https://i11git.iti.kit.edu/anon-gitweb/?p=Mitarbeiter%2FTim-Zeitz%2Fstud-rust-base.git;a=blobdiff_plain;f=src%2Findex_heap.rs;h=a7af9ca1d84892a390a6342c859be9a3a0bbd3c8;hp=c086dc31f158e71a4f8f9d292595a58f00e54d49;hb=b52fc015957bcfa65d2e8fbb8d4ea44f4923e3a8;hpb=56149781fe0423d57676003b7c42698d295bb279 diff --git a/src/index_heap.rs b/src/index_heap.rs index c086dc3..a7af9ca 100644 --- a/src/index_heap.rs +++ b/src/index_heap.rs @@ -1,14 +1,57 @@ +//! A priority queue implemented with a 4-ary heap. +//! +//! Insertion and popping the minimal element have `O(log n)` time complexity. +//! Checking the minimal element is `O(1)`. Keys of elements in the heap can +//! also be increased or decreased +//! +//! # Examples +//! +//! ``` +//! use stud_rust_base::index_heap::{Indexing, IndexdMinHeap}; +//! +//! #[derive(Copy, Clone, Eq, PartialEq, Debug, Ord, PartialOrd)] +//! pub struct State { +//! pub distance: usize, +//! pub node: usize, +//! } +//! +//! +//! // The `Indexing` traits needs to be implemented as well, so we can find elements to decrease their key. +//! impl Indexing for State { +//! fn as_index(&self) -> usize { +//! self.node as usize +//! } +//! } +//! +//! fn main() { +//! let mut heap = IndexdMinHeap::new(3); +//! heap.push(State { node: 0, distance: 42 }); +//! heap.push(State { node: 1, distance: 23 }); +//! heap.push(State { node: 2, distance: 50000 }); +//! assert_eq!(heap.peek().cloned(), Some(State { node: 1, distance: 23 })); +//! heap.decrease_key(State { node: 0, distance: 1 }); +//! assert_eq!(heap.pop(), Some(State { node: 0, distance: 1 })); +//! } +//! +//! ``` + use std; use std::cmp::min; use std::mem::swap; use std::ptr; +/// A trait to map elements in a heap to a unique index. +/// The element type of the `IndexdMinHeap` has to implement this trait. pub trait Indexing { + /// This method has to map a heap element to a unique `usize` index. fn as_index(&self) -> usize; } -// A priority queue where the elements are IDs from 0 to id_count-1 where id_count is a number that is set in the constructor. -// The elements are sorted by integer keys. +/// A priority queue where the elements are IDs from 0 to id_count-1 where id_count is a number that is set in the constructor. +/// The elements are sorted ascending by the ordering defined by the `Ord` trait. +/// The interface mirros the standard library BinaryHeap (except for the reversed order). +/// Only the methods necessary for dijkstras algorithm are implemented. +/// In addition, `increase_key` and `decrease_key` methods are available. #[derive(Debug)] pub struct IndexdMinHeap { positions: Vec, @@ -19,25 +62,32 @@ const TREE_ARITY: usize = 4; const INVALID_POSITION: usize = std::usize::MAX; impl IndexdMinHeap { - pub fn new(max_id: usize) -> IndexdMinHeap { + /// Creates an empty `IndexdMinHeap` as a min-heap. + /// The indices (as defined by the `Indexing` trait) of all inserted elements + /// will have to be between in `[0, max_index)` + pub fn new(max_index: usize) -> IndexdMinHeap { IndexdMinHeap { - positions: vec![INVALID_POSITION; max_id], + positions: vec![INVALID_POSITION; max_index], data: Vec::new() } } + /// Returns the length of the binary heap. pub fn len(&self) -> usize { self.data.len() } + /// Checks if the binary heap is empty. pub fn is_empty(&self) -> bool { self.len() == 0 } + /// Checks if the heap already contains an element mapped to the given index pub fn contains_index(&self, id: usize) -> bool { self.positions[id] != INVALID_POSITION } + /// Drops all items from the heap. pub fn clear(&mut self) { for element in &self.data { self.positions[element.as_index()] = INVALID_POSITION; @@ -45,10 +95,12 @@ impl IndexdMinHeap { self.data.clear(); } + /// Returns a reference to the smallest item in the heap, or None if it is empty. pub fn peek(&self) -> Option<&T> { self.data.first() } + /// Removes the greatest item from the binary heap and returns it, or None if it is empty. pub fn pop(&mut self) -> Option { self.data.pop().map(|mut item| { self.positions[item.as_index()] = INVALID_POSITION; @@ -62,6 +114,8 @@ impl IndexdMinHeap { }) } + /// Pushes an item onto the binary heap. + /// Panics if an element with the same index already exists. pub fn push(&mut self, element: T) { assert!(!self.contains_index(element.as_index())); let insert_position = self.len(); @@ -70,18 +124,18 @@ impl IndexdMinHeap { self.move_up_in_tree(insert_position); } - // Updates the key of an element if the new key is smaller than the old key. - // Does nothing if the new key is larger. - // Undefined if the element is not part of the queue. + /// Updates the key of an element if the new key is smaller than the old key. + /// Does nothing if the new key is larger. + /// Panics if the element is not part of the queue. pub fn decrease_key(&mut self, element: T) { let position = self.positions[element.as_index()]; self.data[position] = element; self.move_up_in_tree(position); } - // Updates the key of an element if the new key is larger than the old key. - // Does nothing if the new key is smaller. - // Undefined if the element is not part of the queue. + /// Updates the key of an element if the new key is larger than the old key. + /// Does nothing if the new key is smaller. + /// Panics if the element is not part of the queue. pub fn increase_key(&mut self, element: T) { let position = self.positions[element.as_index()]; self.data[position] = element;